4220344224180 has 384 divisors, whose sum is σ = 16180706304000. Its totient is φ = 891588695040.

The previous prime is 4220344224023. The next prime is 4220344224181. The reversal of 4220344224180 is 814224430224.

4220344224180 is a `hidden beast` number, since 4 + 2 + 20 + 34 + 422 + 4 + 180 = 666.

It is a super-2 number, since 2×4220344224180² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4220344224181) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2228001 + ... + 3661239.

It is an arithmetic number, because the mean of its divisors is an integer number (42137256000).

Almost surely, 2^{4220344224180} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4220344224180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8090353152000).

4220344224180 is an abundant number, since it is smaller than the sum of its proper divisors (11960362079820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4220344224180 is a wasteful number, since it uses less digits than its factorization.

4220344224180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433324 (or 1433316 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 4220344224180 in words is "four trillion, two hundred twenty billion, three hundred forty-four million, two hundred twenty-four thousand, one hundred eighty".